{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:HVZFWH3UCC2ZYTDRDIVDOVAWT4","short_pith_number":"pith:HVZFWH3U","canonical_record":{"source":{"id":"2008.07438","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2020-08-17T15:56:43Z","cross_cats_sorted":["cs.NI","cs.SY","eess.SY","math.IT","math.PR","stat.AP"],"title_canon_sha256":"97740688880efc156df5bce5e66bb87965da03dd5f310a7c0bd8b905ed7940e1","abstract_canon_sha256":"dae183a48be0e318974d5d8f878cdfa3e753c5c8ed46b2ec11d4a1080e0c45cc"},"schema_version":"1.0"},"canonical_sha256":"3d725b1f7410b59c4c711a2a3754169f2d8ee16ce196b0ea593b927675b41cf5","source":{"kind":"arxiv","id":"2008.07438","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.07438","created_at":"2026-07-05T03:29:14Z"},{"alias_kind":"arxiv_version","alias_value":"2008.07438v3","created_at":"2026-07-05T03:29:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.07438","created_at":"2026-07-05T03:29:14Z"},{"alias_kind":"pith_short_12","alias_value":"HVZFWH3UCC2Z","created_at":"2026-07-05T03:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"HVZFWH3UCC2ZYTDR","created_at":"2026-07-05T03:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"HVZFWH3U","created_at":"2026-07-05T03:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:HVZFWH3UCC2ZYTDRDIVDOVAWT4","target":"record","payload":{"canonical_record":{"source":{"id":"2008.07438","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2020-08-17T15:56:43Z","cross_cats_sorted":["cs.NI","cs.SY","eess.SY","math.IT","math.PR","stat.AP"],"title_canon_sha256":"97740688880efc156df5bce5e66bb87965da03dd5f310a7c0bd8b905ed7940e1","abstract_canon_sha256":"dae183a48be0e318974d5d8f878cdfa3e753c5c8ed46b2ec11d4a1080e0c45cc"},"schema_version":"1.0"},"canonical_sha256":"3d725b1f7410b59c4c711a2a3754169f2d8ee16ce196b0ea593b927675b41cf5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:29:14.066549Z","signature_b64":"7jqU7x7AnWinGvkFrhLErP7a0Oz5wXzoORpd7AFRB/+v5i2NdXRN9cD0NLEwACy/uKjnARtZAnSm2Vp8xxQ0BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d725b1f7410b59c4c711a2a3754169f2d8ee16ce196b0ea593b927675b41cf5","last_reissued_at":"2026-07-05T03:29:14.066146Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:29:14.066146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2008.07438","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:29:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KPYqwczlgekrb3m5RdjBciZkcUEZfFWTNs3mZXZA3gNFPX8Q9UqNeJuuyWliQ4Sq/gCdGIDndo6EOtNxPWEkAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T09:29:26.553552Z"},"content_sha256":"a76ecd8e7cfc0ff321e4a58caacfdde7f11d98f1ea785cb2eaf1ef2694b9d558","schema_version":"1.0","event_id":"sha256:a76ecd8e7cfc0ff321e4a58caacfdde7f11d98f1ea785cb2eaf1ef2694b9d558"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:HVZFWH3UCC2ZYTDRDIVDOVAWT4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analysis and Optimization for Large-Scale LoRa Networks: Throughput Fairness and Scalability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NI","cs.SY","eess.SY","math.IT","math.PR","stat.AP"],"primary_cat":"cs.IT","authors_text":"Dan Yu, Jiangbin Lyu, Liqun Fu","submitted_at":"2020-08-17T15:56:43Z","abstract_excerpt":"LoRa networks are pivotally enabling Long Range connectivity to low-cost and power-constrained user equipments (UEs) in a wide area, whereas a critical issue is to effectively allocate wireless resources to support potentially massive UEs while resolving the prominent near-far fairness issue, which is challenging due to the lack of tractable analytical model and the practical requirement for low-complexity and low-overhead design. Leveraging on stochastic geometry, especially the Poisson rain model, we derive (semi-) closed-form formulas for the aggregate interference distribution, packet succ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.07438","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2008.07438/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:29:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aSCipZhl8TD24WOyJPmvHrtOgZ8x9hfNFL4rg+MP3PfI6O9PHTY3cHLeFADGwV6+faZ1ljaOdMCfTG8dNAfzBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T09:29:26.554138Z"},"content_sha256":"c5420218519e3912b1a4fa7457c33e43ae7bcaa4431b32604edc255159dbad26","schema_version":"1.0","event_id":"sha256:c5420218519e3912b1a4fa7457c33e43ae7bcaa4431b32604edc255159dbad26"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HVZFWH3UCC2ZYTDRDIVDOVAWT4/bundle.json","state_url":"https://pith.science/pith/HVZFWH3UCC2ZYTDRDIVDOVAWT4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HVZFWH3UCC2ZYTDRDIVDOVAWT4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-05T09:29:26Z","links":{"resolver":"https://pith.science/pith/HVZFWH3UCC2ZYTDRDIVDOVAWT4","bundle":"https://pith.science/pith/HVZFWH3UCC2ZYTDRDIVDOVAWT4/bundle.json","state":"https://pith.science/pith/HVZFWH3UCC2ZYTDRDIVDOVAWT4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HVZFWH3UCC2ZYTDRDIVDOVAWT4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:HVZFWH3UCC2ZYTDRDIVDOVAWT4","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"dae183a48be0e318974d5d8f878cdfa3e753c5c8ed46b2ec11d4a1080e0c45cc","cross_cats_sorted":["cs.NI","cs.SY","eess.SY","math.IT","math.PR","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2020-08-17T15:56:43Z","title_canon_sha256":"97740688880efc156df5bce5e66bb87965da03dd5f310a7c0bd8b905ed7940e1"},"schema_version":"1.0","source":{"id":"2008.07438","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.07438","created_at":"2026-07-05T03:29:14Z"},{"alias_kind":"arxiv_version","alias_value":"2008.07438v3","created_at":"2026-07-05T03:29:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.07438","created_at":"2026-07-05T03:29:14Z"},{"alias_kind":"pith_short_12","alias_value":"HVZFWH3UCC2Z","created_at":"2026-07-05T03:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"HVZFWH3UCC2ZYTDR","created_at":"2026-07-05T03:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"HVZFWH3U","created_at":"2026-07-05T03:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:c5420218519e3912b1a4fa7457c33e43ae7bcaa4431b32604edc255159dbad26","target":"graph","created_at":"2026-07-05T03:29:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2008.07438/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"LoRa networks are pivotally enabling Long Range connectivity to low-cost and power-constrained user equipments (UEs) in a wide area, whereas a critical issue is to effectively allocate wireless resources to support potentially massive UEs while resolving the prominent near-far fairness issue, which is challenging due to the lack of tractable analytical model and the practical requirement for low-complexity and low-overhead design. Leveraging on stochastic geometry, especially the Poisson rain model, we derive (semi-) closed-form formulas for the aggregate interference distribution, packet succ","authors_text":"Dan Yu, Jiangbin Lyu, Liqun Fu","cross_cats":["cs.NI","cs.SY","eess.SY","math.IT","math.PR","stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2020-08-17T15:56:43Z","title":"Analysis and Optimization for Large-Scale LoRa Networks: Throughput Fairness and Scalability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.07438","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a76ecd8e7cfc0ff321e4a58caacfdde7f11d98f1ea785cb2eaf1ef2694b9d558","target":"record","created_at":"2026-07-05T03:29:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"dae183a48be0e318974d5d8f878cdfa3e753c5c8ed46b2ec11d4a1080e0c45cc","cross_cats_sorted":["cs.NI","cs.SY","eess.SY","math.IT","math.PR","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2020-08-17T15:56:43Z","title_canon_sha256":"97740688880efc156df5bce5e66bb87965da03dd5f310a7c0bd8b905ed7940e1"},"schema_version":"1.0","source":{"id":"2008.07438","kind":"arxiv","version":3}},"canonical_sha256":"3d725b1f7410b59c4c711a2a3754169f2d8ee16ce196b0ea593b927675b41cf5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d725b1f7410b59c4c711a2a3754169f2d8ee16ce196b0ea593b927675b41cf5","first_computed_at":"2026-07-05T03:29:14.066146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:29:14.066146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7jqU7x7AnWinGvkFrhLErP7a0Oz5wXzoORpd7AFRB/+v5i2NdXRN9cD0NLEwACy/uKjnARtZAnSm2Vp8xxQ0BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:29:14.066549Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.07438","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a76ecd8e7cfc0ff321e4a58caacfdde7f11d98f1ea785cb2eaf1ef2694b9d558","sha256:c5420218519e3912b1a4fa7457c33e43ae7bcaa4431b32604edc255159dbad26"],"state_sha256":"5ade221166108956d5082f8624ed5caf61e1bb9f674642d63e60e88600b46dfe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EPNt1b2tX31uo2O9KQeELy/qjFEk9TVJQni2tDWfuTvL8bQjSjPUA/pIpcmGcT8aLH8ZivIdQo+FbEKGfeGICQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T09:29:26.560228Z","bundle_sha256":"854b6628083bfc83ed573a0f4369bec62491d2a630dd2396965d1b16b89279f0"}}